prompt
listlengths
2
2
label
dict
metadata
dict
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "(999;998),(999;-998),(-999;-998),(-999;998)", "budget": 2371 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007106", "normalized_example_id": "ex_007106", "source_idx": 7106, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2371, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "a", "budget": 3651 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007107", "normalized_example_id": "ex_007107", "source_idx": 7107, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6085, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "a", "budget": 4868 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007107", "normalized_example_id": "ex_007107", "source_idx": 7107, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6085, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "a", "budget": 6085 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007107", "normalized_example_id": "ex_007107", "source_idx": 7107, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6085, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\frac{2021}{4040}", "budget": 1403 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007109", "normalized_example_id": "ex_007109", "source_idx": 7109, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2338, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\frac{2021}{4040}", "budget": 1870 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007109", "normalized_example_id": "ex_007109", "source_idx": 7109, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2338, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\frac{2021}{4040}", "budget": 2338 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007109", "normalized_example_id": "ex_007109", "source_idx": 7109, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2338, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "x\\in(-\\infty,-2)\\cup{1}", "budget": 2396 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007110", "normalized_example_id": "ex_007110", "source_idx": 7110, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3993, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "x\\in(-\\infty,-2)\\cup{1}", "budget": 3194 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007110", "normalized_example_id": "ex_007110", "source_idx": 7110, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3993, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "x\\in(-\\infty,-2)\\cup{1}", "budget": 3993 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007110", "normalized_example_id": "ex_007110", "source_idx": 7110, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3993, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "-2x-3", "budget": 914 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007112", "normalized_example_id": "ex_007112", "source_idx": 7112, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1524, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "-2x-3", "budget": 1219 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007112", "normalized_example_id": "ex_007112", "source_idx": 7112, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1524, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "-2x-3", "budget": 1524 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007112", "normalized_example_id": "ex_007112", "source_idx": 7112, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1524, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\textbf{(D)}", "budget": 796 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007113", "normalized_example_id": "ex_007113", "source_idx": 7113, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1327, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\textbf{(D)}", "budget": 1062 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007113", "normalized_example_id": "ex_007113", "source_idx": 7113, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1327, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\textbf{(D)}", "budget": 1327 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007113", "normalized_example_id": "ex_007113", "source_idx": 7113, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1327, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "60", "budget": 854 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007116", "normalized_example_id": "ex_007116", "source_idx": 7116, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1423, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "60", "budget": 1138 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007116", "normalized_example_id": "ex_007116", "source_idx": 7116, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1423, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "60", "budget": 1423 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007116", "normalized_example_id": "ex_007116", "source_idx": 7116, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1423, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "4038", "budget": 927 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007117", "normalized_example_id": "ex_007117", "source_idx": 7117, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1545, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "4038", "budget": 1236 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007117", "normalized_example_id": "ex_007117", "source_idx": 7117, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1545, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "4038", "budget": 1545 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007117", "normalized_example_id": "ex_007117", "source_idx": 7117, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1545, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2997", "budget": 4717 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007119", "normalized_example_id": "ex_007119", "source_idx": 7119, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7861, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2997", "budget": 6289 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007119", "normalized_example_id": "ex_007119", "source_idx": 7119, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7861, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2997", "budget": 7861 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007119", "normalized_example_id": "ex_007119", "source_idx": 7119, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7861, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "4", "budget": 1241 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007123", "normalized_example_id": "ex_007123", "source_idx": 7123, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2069, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "4", "budget": 1655 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007123", "normalized_example_id": "ex_007123", "source_idx": 7123, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2069, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "4", "budget": 2069 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007123", "normalized_example_id": "ex_007123", "source_idx": 7123, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2069, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\frac{1}{\\sqrt{2}}", "budget": 1354 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007124", "normalized_example_id": "ex_007124", "source_idx": 7124, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2256, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\frac{1}{\\sqrt{2}}", "budget": 1805 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007124", "normalized_example_id": "ex_007124", "source_idx": 7124, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2256, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\frac{1}{\\sqrt{2}}", "budget": 2256 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007124", "normalized_example_id": "ex_007124", "source_idx": 7124, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2256, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\frac{a_{1}}{a_{2}}=\\frac{b_{1}}{b_{2}}=\\frac{c_{1}}{c_{2}}", "budget": 4478 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007129", "normalized_example_id": "ex_007129", "source_idx": 7129, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7463, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\frac{a_{1}}{a_{2}}=\\frac{b_{1}}{b_{2}}=\\frac{c_{1}}{c_{2}}", "budget": 5970 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007129", "normalized_example_id": "ex_007129", "source_idx": 7129, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7463, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\frac{a_{1}}{a_{2}}=\\frac{b_{1}}{b_{2}}=\\frac{c_{1}}{c_{2}}", "budget": 7463 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007129", "normalized_example_id": "ex_007129", "source_idx": 7129, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7463, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "145", "budget": 5549 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007130", "normalized_example_id": "ex_007130", "source_idx": 7130, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9248, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "145", "budget": 7398 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007130", "normalized_example_id": "ex_007130", "source_idx": 7130, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9248, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "145", "budget": 9248 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007130", "normalized_example_id": "ex_007130", "source_idx": 7130, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9248, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "-\\frac{5}{2}", "budget": 2499 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007132", "normalized_example_id": "ex_007132", "source_idx": 7132, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4165, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "-\\frac{5}{2}", "budget": 3332 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007132", "normalized_example_id": "ex_007132", "source_idx": 7132, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4165, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "-\\frac{5}{2}", "budget": 4165 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007132", "normalized_example_id": "ex_007132", "source_idx": 7132, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4165, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "0.7", "budget": 949 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007134", "normalized_example_id": "ex_007134", "source_idx": 7134, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1582, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "0.7", "budget": 1266 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007134", "normalized_example_id": "ex_007134", "source_idx": 7134, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1582, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "0.7", "budget": 1582 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007134", "normalized_example_id": "ex_007134", "source_idx": 7134, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1582, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\frac{3}{\\sqrt{2}}<|y|\\leq2\\sqrt{2}", "budget": 3834 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007138", "normalized_example_id": "ex_007138", "source_idx": 7138, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6390, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\frac{3}{\\sqrt{2}}<|y|\\leq2\\sqrt{2}", "budget": 5112 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007138", "normalized_example_id": "ex_007138", "source_idx": 7138, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6390, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\frac{3}{\\sqrt{2}}<|y|\\leq2\\sqrt{2}", "budget": 6390 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007138", "normalized_example_id": "ex_007138", "source_idx": 7138, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6390, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "1326", "budget": 1286 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007142", "normalized_example_id": "ex_007142", "source_idx": 7142, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2143, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "1326", "budget": 1714 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007142", "normalized_example_id": "ex_007142", "source_idx": 7142, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2143, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "1326", "budget": 2143 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007142", "normalized_example_id": "ex_007142", "source_idx": 7142, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2143, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2.5", "budget": 780 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007145", "normalized_example_id": "ex_007145", "source_idx": 7145, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1300, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2.5", "budget": 1040 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007145", "normalized_example_id": "ex_007145", "source_idx": 7145, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1300, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2.5", "budget": 1300 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007145", "normalized_example_id": "ex_007145", "source_idx": 7145, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1300, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "0.1601", "budget": 3166 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007146", "normalized_example_id": "ex_007146", "source_idx": 7146, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5276, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "0.1601", "budget": 4221 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007146", "normalized_example_id": "ex_007146", "source_idx": 7146, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5276, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "0.1601", "budget": 5276 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007146", "normalized_example_id": "ex_007146", "source_idx": 7146, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5276, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "31", "budget": 1529 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007147", "normalized_example_id": "ex_007147", "source_idx": 7147, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2549, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "31", "budget": 2039 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007147", "normalized_example_id": "ex_007147", "source_idx": 7147, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2549, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "31", "budget": 2549 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007147", "normalized_example_id": "ex_007147", "source_idx": 7147, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2549, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\textbf{(A)}", "budget": 1016 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007148", "normalized_example_id": "ex_007148", "source_idx": 7148, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1694, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\textbf{(A)}", "budget": 1355 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007148", "normalized_example_id": "ex_007148", "source_idx": 7148, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1694, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\textbf{(A)}", "budget": 1694 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007148", "normalized_example_id": "ex_007148", "source_idx": 7148, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1694, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "101^{954}", "budget": 3344 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007149", "normalized_example_id": "ex_007149", "source_idx": 7149, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5573, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "101^{954}", "budget": 4458 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007149", "normalized_example_id": "ex_007149", "source_idx": 7149, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5573, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "101^{954}", "budget": 5573 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007149", "normalized_example_id": "ex_007149", "source_idx": 7149, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5573, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "45", "budget": 3259 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007151", "normalized_example_id": "ex_007151", "source_idx": 7151, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5431, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "45", "budget": 4345 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007151", "normalized_example_id": "ex_007151", "source_idx": 7151, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5431, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "45", "budget": 5431 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007151", "normalized_example_id": "ex_007151", "source_idx": 7151, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5431, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "337", "budget": 5872 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007153", "normalized_example_id": "ex_007153", "source_idx": 7153, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9787, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "337", "budget": 7830 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007153", "normalized_example_id": "ex_007153", "source_idx": 7153, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9787, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "337", "budget": 9787 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007153", "normalized_example_id": "ex_007153", "source_idx": 7153, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9787, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "3", "budget": 1961 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007154", "normalized_example_id": "ex_007154", "source_idx": 7154, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3269, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "3", "budget": 2615 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007154", "normalized_example_id": "ex_007154", "source_idx": 7154, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3269, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "3", "budget": 3269 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007154", "normalized_example_id": "ex_007154", "source_idx": 7154, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3269, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "40", "budget": 2968 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007157", "normalized_example_id": "ex_007157", "source_idx": 7157, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4946, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "40", "budget": 3957 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007157", "normalized_example_id": "ex_007157", "source_idx": 7157, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4946, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "40", "budget": 4946 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007157", "normalized_example_id": "ex_007157", "source_idx": 7157, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4946, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "7", "budget": 3023 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007160", "normalized_example_id": "ex_007160", "source_idx": 7160, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5039, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "7", "budget": 4031 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007160", "normalized_example_id": "ex_007160", "source_idx": 7160, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5039, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "7", "budget": 5039 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007160", "normalized_example_id": "ex_007160", "source_idx": 7160, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5039, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\frac{8}{3}", "budget": 1168 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007161", "normalized_example_id": "ex_007161", "source_idx": 7161, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1946, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\frac{8}{3}", "budget": 1557 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007161", "normalized_example_id": "ex_007161", "source_idx": 7161, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1946, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\frac{8}{3}", "budget": 1946 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007161", "normalized_example_id": "ex_007161", "source_idx": 7161, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1946, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\frac{3 \\sqrt{3}}{2}", "budget": 1527 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007162", "normalized_example_id": "ex_007162", "source_idx": 7162, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2545, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\frac{3 \\sqrt{3}}{2}", "budget": 2036 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007162", "normalized_example_id": "ex_007162", "source_idx": 7162, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2545, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\frac{3 \\sqrt{3}}{2}", "budget": 2545 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007162", "normalized_example_id": "ex_007162", "source_idx": 7162, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2545, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "36", "budget": 2035 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007163", "normalized_example_id": "ex_007163", "source_idx": 7163, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3391, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "36", "budget": 2713 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007163", "normalized_example_id": "ex_007163", "source_idx": 7163, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3391, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "36", "budget": 3391 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007163", "normalized_example_id": "ex_007163", "source_idx": 7163, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3391, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "(2,0,0,3)", "budget": 3917 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007166", "normalized_example_id": "ex_007166", "source_idx": 7166, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6529, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "(2,0,0,3)", "budget": 5223 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007166", "normalized_example_id": "ex_007166", "source_idx": 7166, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6529, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "(2,0,0,3)", "budget": 6529 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007166", "normalized_example_id": "ex_007166", "source_idx": 7166, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6529, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "5\\cdot7^{4}", "budget": 1119 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007168", "normalized_example_id": "ex_007168", "source_idx": 7168, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1865, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "5\\cdot7^{4}", "budget": 1492 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007168", "normalized_example_id": "ex_007168", "source_idx": 7168, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1865, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "5\\cdot7^{4}", "budget": 1865 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007168", "normalized_example_id": "ex_007168", "source_idx": 7168, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1865, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "-4", "budget": 1744 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007169", "normalized_example_id": "ex_007169", "source_idx": 7169, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2907, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "-4", "budget": 2326 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007169", "normalized_example_id": "ex_007169", "source_idx": 7169, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2907, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "-4", "budget": 2907 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007169", "normalized_example_id": "ex_007169", "source_idx": 7169, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2907, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "20", "budget": 1203 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007170", "normalized_example_id": "ex_007170", "source_idx": 7170, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2005, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "20", "budget": 1604 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007170", "normalized_example_id": "ex_007170", "source_idx": 7170, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2005, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "20", "budget": 2005 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007170", "normalized_example_id": "ex_007170", "source_idx": 7170, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2005, ...